Find the nature of the roots of the following quadratic equations:

Question

Find the nature of the roots of the following quadratic equations: 5x (x – 2) + 6 = 0

Philoid · Accepted Answer

Given: 5x (x – 2) + 6 = 0

5x² – 10x + 6 = 0

Comparing with standard quadratic equation ax² + bx + c = 0

a = 5, b = – 10, c = 6

Discriminant D = b² – 4ac

= (– 10)² – 4.5.6

= 100 – 120 = – 20 < 0

Hence the equation has no real roots.